Trees with the second and third largest number of maximum independent sets

被引:0
作者
Lin, Jenq-Jong [1 ]
机构
[1] Ling Tung Univ, Taichung 40852, Taiwan
关键词
GRAPHS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An independent set in a graph G is a subset I of the vertices such that no two vertices in I are adjacent. We say that I is a maximum independent set in G if no other independent set is larger than I. In this paper, we study the problem of determining the second and third largest number of maximum independent sets among all trees and forests. Extremal graphs achieving these values are also given.
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页码:317 / 327
页数:11
相关论文
共 8 条
[1]   Graphs with the second largest number of maximal independent sets [J].
Jin, Zemin ;
Li, Xueliang .
DISCRETE MATHEMATICS, 2008, 308 (23) :5864-5870
[2]  
Jou M. J., 1996, THESIS
[3]   Trees with the second largest number of maximal independent sets [J].
Jou, Min-Jen ;
Lin, Jenq-Jong .
DISCRETE MATHEMATICS, 2009, 309 (13) :4469-4474
[4]   The number of maximum independent sets in graphs [J].
Jou, MJ ;
Chang, GJ .
TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (04) :685-695
[5]  
JOU MJ, 1995, P 2 AS MATH C, P265
[6]   ON CLIQUES IN GRAPHS [J].
MOON, JW ;
MOSER, L .
ISRAEL JOURNAL OF MATHEMATICS, 1965, 3 (01) :23-&
[7]   Maximal and maximum independent sets in graphs with at most r cycles [J].
Sagan, Bruce E. ;
Vatter, Vincent R. .
JOURNAL OF GRAPH THEORY, 2006, 53 (04) :283-314
[8]   THE STRUCTURE AND MAXIMUM NUMBER OF MAXIMUM INDEPENDENT SETS IN TREES [J].
ZITO, J .
JOURNAL OF GRAPH THEORY, 1991, 15 (02) :207-221